Greatest Common Factor of 9987/243, 4452/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9987/243, 4452/825

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9987/243,4452/825

Given fractions are 9987/243,4452/825

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9987,4452

Greatest Common Factor of Numerators i.e. GCF of 9987,4452 is 3 .

LCM of Denominators means LCM of 243,825 as per the given fractions.

LCM of 243,825 is 66825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9987,4452

GCF of Fractions 9987/243,4452/825 is 3/66825

3 9987, 4452
3329, 1484

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9987,4452 By Matching Biggest Common Factor Method

Greatest Common Factor of 9987,4452 By Matching Biggest Common Factor Method

Factors of 9987

List of positive integer factors of 9987 that divides 9987 without a remainder.

1,3,3329,9987

Factors of 4452

List of positive integer factors of 4452 that divides 4452 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452

Greatest Common Factor

We found the factors 9987,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 9987,4452 is 3.

Lets's calculate LCM of 243,825

3 243, 825
81, 275

∴ So the LCM of the given numbers is 3 x 81 x 275 = 66825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/66825

Therefore, the GCF of Fractions 9987/243,4452/825 is 3/66825

Least Common Multiple of 243,825 with GCF Formula

Least Common Multiple of 243,825 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 243,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,825) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(243,825) x common factors =3 x 1 = 3

LCM(243,825) = ( 243 × 825 ) / 3

LCM(243,825) = 200475 / 3

LCM(243,825) = 66825


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9987/243, 4452/825

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9987/243, 4452/825?

Answer: GCF of Numerators as per given numbers 9987/243, 4452/825 is

GCF of Numerators i.e. for 9987,4452 is 3

LCM of denominators i.e. for 243,825 is 66825.

Thus, GCF of Fractions is 3/66825.Finally, GCF of Fractions for 9987/243, 4452/825 is 3/66825.